Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations

被引：187
作者：
Ryabov, Pavel N. [1 ]
Sinelshchikov, Dmitry I. [1 ]
Kochanov, Mark B. [1 ]
机构：
[1] Natl Res Nucl Univ, Dept Appl Math, MEPHI, Moscow 115409, Russia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期
关键词：
Kudryashov method; Nonlinear evolution equations; Nonlinear differential equations; Ordinary differential equations; Exact solutions; TANH-FUNCTION METHOD; SIMPLEST EQUATION;
D O I：
10.1016/j.amc.2011.09.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained. The efficiency of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is demonstrated. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3965 / 3972
页数：8
相关论文
共 21 条
[1]   Solitary wave solution for the generalized Kawahara equation [J].
Biswas, Anjan .
APPLIED MATHEMATICS LETTERS, 2009, 22 (02) :208-210
[2]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[3]  
Gepreel KA., 2011, APPL MATH, V2, P343, DOI [10.4236/am.2011.23040, DOI 10.4236/AM.2011.23040]
[4]   Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations [J].
Kabir, M. M. ;
Khajeh, A. ;
Aghdam, E. Abdi ;
Koma, A. Yousefi .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (02) :213-219
[5]   Periodic Structures Developing with Account for Dispersion in a Turbulence Model [J].
Kudryashov, N. A. ;
Migita, A. V. .
FLUID DYNAMICS, 2007, 42 (03) :463-471
[6]   EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1990, 147 (5-6) :287-291
[7]  
KUDRYASHOV NA, 1988, PMM-J APPL MATH MEC+, V52, P361
[8]   Nonlinear differential equations with exact solutions expressed via the Weierstrass function [J].
Kudryashov, NA .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (7-8) :443-454
[9]   SINGULAR MANIFOLD EQUATIONS AND EXACT-SOLUTIONS FOR SOME NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1993, 182 (4-6) :356-362
[10]   ON TYPES OF NONLINEAR NONINTEGRABLE EQUATIONS WITH EXACT-SOLUTIONS [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1991, 155 (4-5) :269-275
123